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Finding the Fourth Proportional to 12,912.40, 19,370.76 and 6,337.72

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Solution

The fourth proportional to 12,912.40, 19,370.76 and 6,337.72 is: 9,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.40 : 19,370.76 = 6,337.72 : x
  2. Step 2: Convert to fraction form
    12,912.40/19,370.76 = 6,337.72/x
  3. Step 3: Cross multiply
    12,912.40x = 19,370.76 × 6,337.72
  4. Step 4: Simplify right side
    12,912.40x = 122,766,453.07
  5. Step 5: Solve for x
    x = 122,766,453.07/12,912.40
  6. Step 6: Final answer
    x = 9,507.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.